Search a number
-
+
104343241140 = 22325579684673
BaseRepresentation
bin110000100101101010…
…1111000000110110100
3100222022212012212000200
41201023111320012310
53202143332204030
6115533513440500
710352502626055
oct1411325700664
9328285185020
10104343241140
1140285048496
1218280410130
139abb58bb08
14509bc0272c
152aaa6b0d60
hex184b5781b4

104343241140 has 36 divisors (see below), whose sum is σ = 316507832004. Its totient is φ = 27824864256.

The previous prime is 104343241133. The next prime is 104343241151. The reversal of 104343241140 is 41142343401.

104343241140 is a `hidden beast` number, since 10 + 43 + 432 + 41 + 140 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27616457124 + 76726784016 = 166182^2 + 276996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289842157 + ... + 289842516.

Almost surely, 2104343241140 is an apocalyptic number.

104343241140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104343241140 is an abundant number, since it is smaller than the sum of its proper divisors (212164590864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104343241140 is a wasteful number, since it uses less digits than its factorization.

104343241140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579684688 (or 579684683 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 104343241140 its reverse (41142343401), we get a palindrome (145485584541).

The spelling of 104343241140 in words is "one hundred four billion, three hundred forty-three million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 579684673 1159369346 1739054019 2318738692 2898423365 3478108038 5217162057 5796846730 6956216076 8695270095 10434324114 11593693460 17390540190 20868648228 26085810285 34781080380 52171620570 104343241140